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13341831312 = 2431927752813
BaseRepresentation
bin11000110110011110…
…00011000010010000
31021102211000020212110
430123033003002100
5204311002100222
610043521425320
7651423460245
oct143317030220
937384006773
1013341831312
115727130377
12270419b240
131348157a54
14907d0b5cc
1553147530c
hex31b3c3090

13341831312 has 80 divisors (see below), whose sum is σ = 36412084160. Its totient is φ = 4197920256.

The previous prime is 13341831311. The next prime is 13341831343. The reversal of 13341831312 is 21313814331.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13341831312.

It is not an unprimeable number, because it can be changed into a prime (13341831311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226218 + ... + 279030.

It is an arithmetic number, because the mean of its divisors is an integer number (455151052).

Almost surely, 213341831312 is an apocalyptic number.

13341831312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13341831312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206042080).

13341831312 is an abundant number, since it is smaller than the sum of its proper divisors (23070252848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13341831312 is a wasteful number, since it uses less digits than its factorization.

13341831312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53120 (or 53114 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The spelling of 13341831312 in words is "thirteen billion, three hundred forty-one million, eight hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 277 304 456 554 831 912 1108 1662 2216 3324 4432 5263 6648 10526 13296 15789 21052 31578 42104 52813 63156 84208 105626 126312 158439 211252 252624 316878 422504 633756 845008 1003447 1267512 2006894 2535024 3010341 4013788 6020682 8027576 12041364 14629201 16055152 24082728 29258402 43887603 48165456 58516804 87775206 117033608 175550412 234067216 277954819 351100824 555909638 702201648 833864457 1111819276 1667728914 2223638552 3335457828 4447277104 6670915656 13341831312